J & K CET Engineering J and K - CET Engineering Solved Paper-2012

  • question_answer
    The half-life of \[^{60}Co\] is approximately \[5.25\] years. In a sample containing \[1\text{ }g\] of freshly prepared \[^{60}Co,\] how much of the isotope will be left after 21 years?

    A)  \[125\,\,mg\]         

    B)  \[62.5\text{ }mg\]

    C)  Nothing will be left

    D)  \[31.25\text{ }mg\]

    Correct Answer: B

    Solution :

    Given, \[{{T}_{1/2}}=5.25\,yr\] \[t=21yr\] Number of half lives \[n=\frac{t}{{{T}_{1/2}}}=\frac{21}{5.25}=4\] Amount of sample left \[={{\left( \frac{1}{2} \right)}^{4}}\times 1\,g\] \[=\frac{1}{16}g\] or \[62.5mg\]


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